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Simplifying 2x2 + -29x + 27 = 0 Reorder the terms: 27 + -29x + 2x2 = 0 Solving 27 + -29x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(27 + -2x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(27 + -2x)' equal to zero and attempt to solve: Simplifying 27 + -2x = 0 Solving 27 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -2x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 0 + -27 -2x = 0 + -27 Combine like terms: 0 + -27 = -27 -2x = -27 Divide each side by '-2'. x = 13.5 Simplifying x = 13.5Solution
x = {1, 13.5}
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